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We study measures of quantum information when the space spanned by the set of accessible observables is not closed under products, i.e., we consider systems where an observer may be able to measure the expectation values of two operators,…

高能物理 - 理论 · 物理学 2018-08-15 Sudip Ghosh , Suvrat Raju

We investigate the tradeoff between the quality of an approximate version of a given measurement and the disturbance it induces in the measured quantum system. We prove that if the target measurement is a non-degenerate von Neumann…

量子物理 · 物理学 2019-01-23 Anna-Lena K. Hashagen , Michael M. Wolf

Obtaining information from a quantum system through a measurement typically disturbs its state. The postmeasurement states for a given measurement, however, are not unique and highly rely on the chosen measurement model, complicating the…

量子物理 · 物理学 2024-01-04 Nayere Saberian , Seyed Javad Akhtarshenas , Fereshte Shahbeigi

The inherent connection between noise and disturbance is one of the most fundamental features of quantum measurements. In the two well-known extreme cases a measurement either makes no disturbance but then has to be totally noisy or is as…

量子物理 · 物理学 2014-01-08 Teiko Heinosaari , Takayuki Miyadera

In this paper we give a new way to quantify the folklore notion that quantum measurements bring a disturbance to the system being measured. We consider two observers who initially assign identical mixed-state density operators to a…

量子物理 · 物理学 2009-11-06 Christopher A. Fuchs , Kurt Jacobs

It is often supposed that a quantum system is not disturbed without state change. In a recent debate, this assumption is used to claim that the operator-based disturbance measure, a broadly used disturbance measure, has an unphysical…

量子物理 · 物理学 2022-08-11 Masanao Ozawa

A measurement model is a framework that describes a quantum measurement process. In this article we restrict attention to $MM$s on finite-dimensional Hilbert spaces. Suppose we want to measure an observable $A$ whose outcomes $A_x$ are…

量子物理 · 物理学 2020-09-29 Stan Gudder

Common misconceptions on the Heisenberg principle are reviewed, and the original spirit of the principle is reestablished in terms of the trade-off between information retrieved by a measurement and disturbance on the measured system. After…

量子物理 · 物理学 2007-05-23 Giacomo Mauro D'Ariano

A measurement is deemed successful, if one can maximize the information gain by the measurement apparatus. Here, we ask if quantum coherence of the system imposes a limitation on the information gain during quantum measurement. First, we…

量子物理 · 物理学 2020-04-02 Gautam Sharma , Sk Sazim , Arun Kumar Pati

We present a simple information-disturbance tradeoff relation valid for any general measurement apparatus: The disturbance between input and output states is lower bounded by the information the apparatus provides in distinguishing these…

量子物理 · 物理学 2009-11-11 Lorenzo Maccone

Communicating classical information with a quantum system involves the receiver making a measurement on the system so as to distinguish as well as possible the alphabet of states used by the sender. We consider the situation in which this…

量子物理 · 物理学 2007-05-23 Kurt Jacobs

The information provided by a classical measurement is unambiguously determined by the mutual information between the output results and the measured quantity. However, quantum mechanically there are at least two notions of information…

量子物理 · 物理学 2007-05-23 Kurt Jacobs

While the slogan "no measurement without disturbance" has established itself under the name Heisenberg effect in the consciousness of the scientifically interested public, a precise statement of this fundamental feature of the quantum world…

量子物理 · 物理学 2013-10-24 Paul Busch , Pekka Lahti , Reinhard F. Werner

Information-theoretical restrictions on the information transfer in quantum measurements are studied. They are derived for the measurement of system S by detector D, registrated and processed by information system O. The formalism of…

量子物理 · 物理学 2007-06-28 S. Mayburov

Performing a quantum measurement yields two different results: a classical outcome drawn from a probability distribution, according to Born's rule, and a quantum outcome corresponding to the post-measurement state. Quantum devices that…

量子物理 · 物理学 2026-02-25 Andrés Muñoz-Moller , Leevi Leppäjärvi , Teiko Heinosaari

The task of state discrimination for a set of mutually orthogonal pure states is trivial if one has access to the corresponding sharp (projection-valued) measurement, but what if we are restricted to an unsharp measurement? Given that any…

量子物理 · 物理学 2021-03-03 Tom Bullock , Teiko Heinosaari

Complementary relationships exist regarding interference properties of particles such as pattern visibility, predictability and distinguishability. Additionally, relationships are known between information gain $G$ and measurement…

量子物理 · 物理学 2024-09-04 Michael Steiner , Ronald Rendell

No consensus seems to exist as to what constitutes a measurement which is still considered somewhat mysterious in many respects in quantum mechanics. At successive stages mathematical theory of measure, metrology and measurement theory…

量子物理 · 物理学 2008-11-21 Paolo Rocchi , Orlando Panella

Quantum measurements necessarily disturb the state of physical system. Once we perform a complete measurement, the system undergoes decoherence and loses its coherence. If there is no disturbance, the state retains all of its coherence. It…

量子物理 · 物理学 2018-10-10 Gautam Sharma , Arun Kumar Pati

In this work we investigate the relation between quantum measurements and decoherence, in order to formally express the necessity of the latter for obtaining an informative output from the former. To this aim, referring to the Von Neumann…

量子物理 · 物理学 2015-06-23 Pietro Liuzzo-Scorpo , Alessandro Cuccoli , Paola Verrucchi